Axisymmetric bending and buckling analysis of thick functionally graded circular plates using unconstrained third-order shear deformation plate theory

In this paper, axisymmetric bending and stretching of functionally graded solid circular and annular plate is studied based on the second-order shear deformation plate theory (SST). The solutions for deflections, force and moment resultants of the second-order theory are presented in terms of the corresponding quantities of the isotropic plates based on the classical plate theory from which one can easily obtain the SST solutions for axisymmetric bending of functionally graded circular plates. It is assumed that the mechanical properties of the functionally graded plates vary continuously through the thickness of the plate and obey a power law distribution of the volume fraction of the constituents. Numerical results for maximum displacement are presented for various percentages of ceramic-metal volume-fractions and have been compared with those obtained from first-order shear deformation plate theory (FST).

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Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2004.08.004 ◽

2004 ◽

Vol 23 (6) ◽

pp. 1085-1100 ◽

Cited By ~ 114

Author(s):

M.M. Najafizadeh ◽

H.R. Heydari

Keyword(s):

Shear Deformation ◽

Plate Theory ◽

Higher Order ◽

Thermal Buckling ◽

Functionally Graded ◽

Circular Plates ◽

Shear Deformation Plate Theory

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Thermomechanical postbuckling analysis of eccentrically stiffened FGM sandwich plates with general Sigmoid and power laws based on TSDT

Journal of Sandwich Structures & Materials ◽

10.1177/1099636216682545 ◽

2016 ◽

Vol 20 (8) ◽

pp. 907-945 ◽

Cited By ~ 2

Author(s):

Dao Van Dung ◽

Nguyen Thi Nga

Keyword(s):

Shear Deformation ◽

Material Properties ◽

Plate Theory ◽

Geometrical Nonlinearity ◽

Power Laws ◽

Functionally Graded ◽

Sandwich Plates ◽

Temperature Dependent ◽

Third Order ◽

Shear Deformation Plate Theory

The buckling and postbuckling behaviors of eccentrically stiffened sandwich plates on elastic foundations subjected to in-plane compressive loads, thermal loads, or thermomechanical loads are presented analytically by using the Reddy’s third-order shear deformation plate theory with von Karman geometrical nonlinearity. Four cases of general Sigmoid and power laws are considered. The material properties of the facesheets, the core layer, and stiffeners are assumed to be temperature-dependent. Theoretical formulations based on the smeared stiffeners technique and third-order shear deformation plate theory are derived. The expressions of thermal parameters are found in the analytical form. Applying the Galerkin method, the expressions for determination of the critical buckling load and analysis of the postbuckling mechanical and thermal load–deflection curves are obtained. The iterative algorithm is presented for the case of temperature-dependent plate material properties. In addition, the influences of thermal element, functionally graded material stiffeners, the facesheet thickness to total thickness ratio, initial imperfection, and foundations are clarified in detail.

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